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Probability

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Q JEE MAIN 2022
JEE Main Mathematics Medium
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Q JEE MAIN 2022
A biased die is marked with numbers 2, 4, 8, 16, 32, 32 on its faces and the probability of getting a face with mark...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
The probability, that in a randomly selected 3-digit number at least two digits are odd, is
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let X be a random variable having binomial distribution B(7, p). If P(X = 3) = 5P(X = 4), then the sum of the mean...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Five numbers $x_1, x_2, x_3, x_4, x_5$ are randomly selected from the numbers $1,2,3, \ldots \ldots, 18$ and are arranged in the increasing order $\left(x_1
JEE Main Mathematics Easy
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Q JEE MAIN 2022
The probability that a randomly chosen 2 × 2 matrix with all the entries from the set of first 10 primes, is singular, is equal...
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let the normal at the point P on the parabola $\mathrm{y}^2=6 \mathrm{x}$ pass through the point $(5,-8)$. If the tangent at P to the parabola...
JEE Main Mathematics Easy
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Q JEE MAIN 2022
If a random variable $X$ follows the Binomial distribution $B(33, p)$ such that $3 P(X=0)=P(X=1)$, then the value of $\frac{P(X=15)}{P(X=18)}-\frac{P(X=16)}{P(X=17)}$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $E_1$ and $E_2$ be two events such that the conditional probabilities $P\left(E_1 \mid E_2\right)=\frac{1}{2}, P\left(E_2 \mid E_1\right)=\frac{3}{4}$ and $P\left(E_1 \cap E_2\right)=\frac{1}{8}$. Then :
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Let $x^2+y^2+A x+B y+C=0$ be a circle passing through $(0,6)$ and touching the parabola $y=x^2$ at $(2,4)$. Then $\mathrm{A}+\mathrm{C}$ is equal to $\_\_\_\_$
JEE Main Mathematics Medium
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